1001222112161 has 2 divisors, whose sum is σ = 1001222112162. Its totient is φ = 1001222112160.

The previous prime is 1001222112133. The next prime is 1001222112211. The reversal of 1001222112161 is 1612112221001.

1001222112161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 783147121936 + 218074990225 = 884956^2 + 466985^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001222112161 - 2³⁴ = 984042242977 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001222112061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500611056080 + 500611056081.

It is an arithmetic number, because the mean of its divisors is an integer number (500611056081).

Almost surely, 2^{1001222112161} is an apocalyptic number.

It is an amenable number.

1001222112161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001222112161 is an equidigital number, since it uses as much as digits as its factorization.

1001222112161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 1001222112161 its reverse (1612112221001), we get a palindrome (2613334333162).

The spelling of 1001222112161 in words is "one trillion, one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred sixty-one".